Capital Budgeting Decisions Chapter 13 PowerPoint Authors: Susan Coomer Galbreath, Ph.D., CPA Charles W. Caldwell, D.B.A., CMA Jon A. Booker, Ph.D., CPA, CIA Cynthia J. Rooney, Ph.D., CPA Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education. 13-2 Typical Capital Budgeting Decisions Plant expansion Equipment selection Lease or buy Equipment replacement Cost reduction 13-3 Typical Capital Budgeting Decisions Capital budgeting tends to fall into two broad categories. 1. Screening decisions. Does a proposed project meet some preset standard of acceptance? 2. Preference decisions. Selecting from among several competing courses of action. 13-4 Cash Flows versus Operating Income These methods focus on analyzing the cash flows associated with capital investment projects: • Payback Method • Net Present Value • Internal Rate of Return The simple rate of return method focuses on incremental net operating income. 13-5 Typical Cash Outflows Repairs and maintenance Working capital Initial investment Incremental operating costs 13-6 Typical Cash Inflows Salvage value Release of working capital Reduction of costs Incremental revenues 13-7 Time Value of Money A dollar today is worth more than a dollar a year from now. Therefore, projects that promise earlier returns are preferable to those that promise later returns. 13-8 Time Value of Money The capital budgeting techniques that best recognize the time value of money are those that involve discounted cash flows. 13-9 Learning Objective 1 Determine the payback period for an investment. 13-10 The Payback Method The payback method focuses on the payback period, which is the length of time that it takes for a project to recoup its initial cost out of the cash receipts that it generates. 13-11 The Payback Method The payback method analyzes cash flows; however, it does not consider the time value of money. When the annual net cash inflow is the same each year, this formula can be used to compute the payback period: Payback period = Investment required Annual net cash inflow 13-12 The Payback Method Management at the Daily Grind wants to install an espresso bar in its restaurant that 1. Costs $140,000 and has a 10-year life. 2. Will generate annual net cash inflows of $35,000. Management requires a payback period of 5 years or less on all investments. What is the payback period for the espresso bar? 13-13 The Payback Method Payback period = Investment required Annual net cash inflow Payback period = $140,000 $35,000 Payback period = 4.0 years According to the company’s criterion, management would invest in the espresso bar because its payback period is less than 5 years. 13-14 Quick Check Consider the following two investments: Initial investment Year 1 cash inflow Year 2 cash inflow Year 14-10 cash inflows Project X $100,000 $60,000 $40,000 $0 Project Y $100,000 $60,000 $35,000 $25,000 Which project has the shortest payback period? a. Project X b. Project Y c. Cannot be determined 13-15 Quick Check Consider the following two investments: Initial investment Year 1 cash inflow Year 2 cash inflow Year 14-10 cash inflows Project X $100,000 $60,000 $40,000 $0 Project Y $100,000 $60,000 $35,000 $25,000 Which project has the shortest payback period? a. Project X b. Project Y c. Cannot be determined • Project X has a payback period of 2 years. • Project Y has a payback period of slightly more than 2 years. • Which project do you think is better? 13-16 Evaluation of the Payback Method Short-comings of the payback method. Ignores cash flows after the payback period. Ignores the time value of money. Shorter payback period does not always mean a more desirable investment. 13-17 Evaluation of the Payback Method Serves as screening tool. Strengths of the payback period. Identifies investments that recoup cash investments quickly. Identifies products that recoup initial investment quickly. 13-18 Payback and Uneven Cash Flows When the cash flows associated with an investment project change from year to year, the payback formula introduced earlier cannot be used. Instead, the un-recovered investment must be tracked year by year. $1,000 1 $0 $2,000 $1,000 2 3 4 $500 5 13-19 Payback and Uneven Cash Flows For example, if a project requires an initial investment of $4,000 and provides uneven net cash inflows in years 1-5 as shown, the investment would be fully recovered in year 4. $1,000 1 $0 $2,000 $1,000 2 3 4 $500 5 13-20 Learning Objective 2 Evaluate the acceptability of an investment project using the net present value method. 13-21 The Net Present Value Method The net present value method compares the present value of a project’s cash inflows with the present value of its cash outflows. The difference between these two streams of cash flows is called the net present value. 13-22 The Net Present Value Method Two Simplifying Assumptions • All cash flows other than the initial investment occur at the end of periods. • All cash flows generated by an investment project are immediately reinvested at a rate of return equal to the discount rate. 13-23 The Net Present Value Method Lester Company has been offered a five year contract to provide component parts for a large manufacturer. Cost and revenue information Cost of special equipment $160,000 Working capital required 100,000 Relining equipment in 3 years 30,000 Salvage value of equipment in 5 years 5,000 Annual cash revenue and costs: Sales revenue from parts 750,000 Cost of parts sold 400,000 Salaries, shipping, etc. 270,000 13-24 The Net Present Value Method At the end of five years the working capital will be released and may be used elsewhere by Lester. Lester Company uses a discount rate of 11%. Should the contract be accepted? 13-25 The Net Present Value Method Annual net cash inflow from operations Sales revenue Cost of parts sold Salaries, shipping, etc. Annual net cash inflows $ 750,000 (400,000) (270,000) $ 80,000 13-26 The Net Present Value Method Investment in equipment Working capital needed Net present value Years Now Now Cash Flows $ (160,000) (100,000) 11% Factor 1.000 1.000 Present Value $ (160,000) (100,000) 13-27 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Years Now Now 1-5 Cash Flows $ (160,000) (100,000) 80,000 11% Factor 1.000 1.000 3.696 Present value of an annuity of $1 factor for 5 years at 11%. Present Value $ (160,000) (100,000) 295,680 13-28 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Relining of equipment Years Now Now 1-5 3 Cash Flows $ (160,000) (100,000) 80,000 (30,000) Present value of $1 factor for 3 years at 11%. 11% Factor 1.000 1.000 3.696 0.731 Present Value $ (160,000) (100,000) 295,680 (21,930) 13-29 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Relining of equipment Salvage value of equip. Working capital released Years Now Now 1-5 3 5 5 Cash Flows $ (160,000) (100,000) 80,000 (30,000) 5,000 100,000 11% Factor 1.000 1.000 3.696 0.731 0.593 0.593 Present Value $ (160,000) (100,000) 295,680 (21,930) 2,965 59,300 Present value of $1 factor for 5 years at 11%. Total present value of the release of the working capital and the salvage value of the equipment is $62,265. 13-30 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Relining of equipment Salvage value of equip. Working capital released Net present value Years Now Now 1-5 3 5 5 Cash Flows $ (160,000) (100,000) 80,000 (30,000) 5,000 100,000 11% Factor 1.000 1.000 3.696 0.731 0.593 0.593 Present Value $ (160,000) (100,000) 295,680 (21,930) 2,965 59,300 $ 76,015 Accept the contract because the project has a positive net present value. 13-31 Quick Check Denny Associates has been offered a four-year contract to supply the computing requirements for a local bank. Cash flow information Cost of computer equipment $ 250,000 Working capital required 20,000 Upgrading of equipment in 2 years 90,000 Salvage value of equipment in 4 years 10,000 Annual net cash inflow 120,000 • The working capital would be released at the end of the contract. • Denny Associates requires a 14% return. 13-32 Quick Check What is the net present value of the contract with the local bank? a. $150,000 b. $ 28,230 c. $ 92,340 d. $132,916 13-33 Quick Check What is the net present value of the contract with the local bank? a. $150,000 b. $ 28,230 Cash 14% Present c. $ 92,340 Years Flows Factor Value Investment in equipment Now $ (250,000) 1.000 $ (250,000) d. $132,916 Working capital needed Annual net cash inflows Upgrading of equipment Salvage value of equip. Working capital released Net present value Now 1-4 2 4 4 (20,000) 120,000 (90,000) 10,000 20,000 1.000 2.914 0.769 0.592 0.592 $ (20,000) 349,680 (69,210) 5,920 11,840 28,230 13-34 The Net Present Value Method For this next example, we’ll use the same information. Lester Company has been offered a five year contract to provide component parts for a large manufacturer. Cost and revenue information Cost of special equipment $160,000 Working capital required 100,000 Relining equipment in 3 years 30,000 Salvage value of equipment in 5 years 5,000 Annual cash revenue and costs: Sales revenue from parts 750,000 Cost of parts sold 400,000 Salaries, shipping, etc. 270,000 13-35 The Net Present Value Method At the end of five years the working capital will be released and may be used elsewhere by Lester. Lester Company uses a discount rate of 11%. Should the contract be accepted? 13-36 The Net Present Value Method Investment in equipment Working capital needed Years Now Now Cash Flows $ (160,000) (100,000) 11% Factor 1.000 1.000 Present Value $ (160,000) (100,000) Since the investments in equipment ($160,000) and working capital ($100,000) occur immediately, the discounting factor used is 1.000. 13-37 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Salvage value of equip. Working capital released Years Now Now 1 2 3 4 5 5 5 Cash Flows $ (160,000) (100,000) 80,000 80,000 50,000 80,000 80,000 5,000 100,000 11% Factor 1.000 1.000 0.901 0.812 0.731 0.659 0.593 0.593 0.593 Present Value $ (160,000) (100,000) 72,080 64,960 36,550 52,720 47,440 2,965 59,300 The total cash flows for years 1-5 are discounted to their present values using the discount factors from Exhibit 13B-1. 13-38 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Salvage value of equip. Working capital released Years Now Now 1 2 3 4 5 5 5 Cash Flows $ (160,000) (100,000) 80,000 80,000 50,000 80,000 80,000 5,000 100,000 11% Factor 1.000 1.000 0.901 0.812 0.731 0.659 0.593 0.593 0.593 Present Value $ (160,000) (100,000) 72,080 64,960 36,550 52,720 47,440 2,965 59,300 For example, the total cash flows in year 1 of $80,000 are multiplied by the discount factor of 0.901 to derive this future cash flow’s present value of $72,080. 13-39 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Salvage value of equip. Working capital released Years Now Now 1 2 3 4 5 5 5 Cash Flows $ (160,000) (100,000) 80,000 80,000 50,000 80,000 80,000 5,000 100,000 11% Factor 1.000 1.000 0.901 0.812 0.731 0.659 0.593 0.593 0.593 Present Value $ (160,000) (100,000) 72,080 64,960 36,550 52,720 47,440 2,965 59,300 As another example, the total cash flows in year 3 of $50,000 are multiplied by the discount factor of 0.731 to derive this future cash flow’s present value of $36,550. 13-40 The Net Present Value Method Investment in equipment Working capital needed Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Annual net cash inflows Salvage value of equip. Working capital released Net present value Years Now Now 1 2 3 4 5 5 5 Cash Flows $ (160,000) (100,000) 80,000 80,000 50,000 80,000 80,000 5,000 100,000 11% Factor 1.000 1.000 0.901 0.812 0.731 0.659 0.593 0.593 0.593 Present Value $ (160,000) (100,000) 72,080 64,960 36,550 52,720 47,440 2,965 59,300 $ 76,015 The net present value of the investment opportunity is $76,015. Notice this amount equals the net present value from the earlier approach. 13-41 The Net Present Value Method Once you have computed a net present value, you should interpret the results as follows: 1. A positive net present value indicates that the project’s return exceeds the discount rate. 2. A negative net present value indicates that the project’s return is less than the discount rate. 13-42 The Net Present Value Method If the Net Present Value is . . . Then the Project is . . . Positive . . . Acceptable because it promises a return greater than the required rate of return. Zero . . . Acceptable because it promises a return equal to the required rate of return. Negative . . . Not acceptable because it promises a return less than the required rate of return. 13-43 Choosing a Discount Rate • The company’s cost of capital is usually regarded as the minimum required rate of return. • The cost of capital is the average return the company must pay to its long-term creditors and stockholders. 13-44 Recovery of the Original Investment The net present value method automatically provides for return of the original investment. 13-45 Recovery of the Original Investment Carver Hospital is considering the purchase of an attachment for its X-ray machine. No investments are to be made unless they have an annual return of at least 10%. Will we be allowed to invest in the attachment? 13-46 Recovery of the Original Investment Item Initial investment (outflow) Annual cash inflows Annual cash inflows Annual cash inflows Annual cash inflows Net present value Year(s) Now 1 2 3 4 Amount of Cash Flow (3,169) $ 1,000 $ 1,000 $ 1,000 $ 1,000 10% Factor 1.000 0.909 0.826 0.751 0.683 Present Value of Cash Flows (3,169) $ 909 $ 826 $ 751 $ 683 - Notice that the net present value of the investment is zero. 13-47 Recovery of the Original Investment Item Initial investment (outflow) Annual cash inflows Annual cash inflows Annual cash inflows Annual cash inflows Net present value Year(s) Now 1 2 3 4 Amount of Cash Flow (3,169) $ 1,000 $ 1,000 $ 1,000 $ 1,000 10% Factor 1.000 0.909 0.826 0.751 0.683 Present Value of Cash Flows (3,169) $ 909 $ 826 $ 751 $ 683 - This implies that the cash inflows are sufficient to recover the $3,169 initial investment and to provide exactly a 10% return on the investment. 13-48 Learning Objective 3 Evaluate the acceptability of an investment project using the internal rate of return method. 13-49 Internal Rate of Return Method • The internal rate of return is the rate of return promised by an investment project over its useful life. It is computed by finding the discount rate that will cause the net present value of a project to be zero. • It works very well if a project’s cash flows are identical every year. If the annual cash flows are not identical, a trial-and-error process must be used to find the internal rate of return. 13-50 Internal Rate of Return Method General decision rule . . . If the Internal Rate of Return is . . . Then the Project is . . . Equal to or greater than the minimum required rate of return . . . Acceptable. Less than the minimum required rate of return . . . Rejected. When using the internal rate of return, the cost of capital acts as a hurdle rate that a project must clear for acceptance. 13-51 Internal Rate of Return Method • Decker Company can purchase a new machine at a cost of $104,320 that will save $20,000 per year in cash operating costs. • The machine has a 10-year life. 13-52 Internal Rate of Return Method Future cash flows are the same every year in this example, so we can calculate the internal rate of return as follows: PV factor for the = internal rate of return Investment required Annual net cash flows $104, 320 = 5.216 $20,000 13-53 Internal Rate of Return Method Using the present value of an annuity of $1 table . . . Find the 10-period row, move across until you find the factor 5.216. Look at the top of the column and you find a rate of 14%. Periods 1 2 . . . 9 10 10% 0.909 1.736 . . . 5.759 6.145 12% 0.893 1.690 . . . 5.328 5.650 14% 0.877 1.647 . . . 4.946 5.216 13-54 Internal Rate of Return Method If Decker’s minimum required rate of return is equal to or greater than 14%, then the machine should be purchased. Periods 1 2 . . . 9 10 10% 0.909 1.736 . . . 5.759 6.145 12% 0.893 1.690 . . . 5.328 5.650 14% 0.877 1.647 . . . 4.946 5.216 13-55 Quick Check The expected annual net cash inflow from a project is $22,000 over the next 5 years. The required investment now in the project is $79,310. What is the internal rate of return on the project? a. 10% b. 12% c. 14% d. Cannot be determined 13-56 Quick Check The expected annual net cash inflow from a project is $22,000 over the next 5 years. The required investment now in the project is $79,310. What is the internal rate of return on the project? a. 10% $79,310/$22,000 = 3.605, b. 12% which is the present value factor c. 14% for an annuity over five years d. Cannot be determined when the interest rate is 12%. 13-57 Comparing the Net Present Value and Internal Rate of Return Methods • NPV is often simpler to use. • Questionable assumption: ▫ Internal rate of return method assumes cash inflows are reinvested at the internal rate of return. 13-58 Comparing the Net Present Value and Internal Rate of Return Methods • If the internal rate of return is high, this assumption may be unrealistic. • It is more realistic to assume that the cash flows can be reinvested at the discount rate, which is the underlying assumption of the net present value method. 13-59 Expanding the Net Present Value Method We will now expand the net present value method to include two alternatives. We will analyze the alternatives using the total cost approach. 13-60 The Total-Cost Approach White Company has two alternatives: 1. remodel an old car wash or, 2. remove the old car wash and install a new one. The company uses a discount rate of 10%. New Car Wash Annual revenues $ 90,000 Annual cash operating costs 30,000 Annual net cash inflows $ 60,000 Old Car Wash $ 70,000 25,000 $ 45,000 13-61 The Total-Cost Approach If White installs a new washer . . . Cost $ 300,000 Productive life Salvage value 10 years $ 7,000 Replace brushes at the end of 6 years $ 50,000 Salvage of old equip. $ 40,000 Let’s look at the present value of this alternative. 13-62 The Total-Cost Approach Install the New Washer Cash 10% Year Flows Factor Initial investment Now $ (300,000) 1.000 Replace brushes 6 (50,000) 0.564 Annual net cash inflows 1-10 60,000 6.145 Salvage of old equipment Now 40,000 1.000 Salvage of new equipment 10 7,000 0.386 Net present value Present Value $ (300,000) (28,200) 368,700 40,000 2,702 $ 83,202 If we install the new washer, the investment will yield a positive net present value of $83,202. 13-63 The Total-Cost Approach If White remodels the existing washer . . . Remodel costs Replace brushes at the end of 6 years $175,000 80,000 Let’s look at the present value of this second alternative. 13-64 The Total-Cost Approach Remodel the Old Washer Cash 10% Year Flows Factor Initial investment Now $ (175,000) 1.000 Replace brushes 6 (80,000) 0.564 Annual net cash inflows 1-10 45,000 6.145 Net present value Present Value $ (175,000) (45,120) 276,525 $ 56,405 If we remodel the existing washer, we will produce a positive net present value of $56,405. 13-65 The Total-Cost Approach Both projects yield a positive net present value. Net Present Value Invest in new washer Remodel existing washer In favor of new washer $ 83,202 56,405 $ 26,797 However, investing in the new washer will produce a higher net present value than remodeling the old washer. 13-66 Least Cost Decisions In decisions where revenues are not directly involved, managers should choose the alternative that has the least total cost from a present value perspective. 13-67 Least Cost Decisions Home Furniture Company is trying to decide whether to overhaul an old delivery truck now or purchase a new one. The company uses a discount rate of 10%. 13-68 Least Cost Decisions Here is information about the trucks . . . Old Truck Overhaul cost now Annual operating costs Salvage value in 5 years Salvage value now $ 4,500 10,000 250 9,000 New Truck Purchase price $ 21,000 Annual operating costs 6,000 Salvage value in 5 years 3,000 13-69 Least Cost Decisions Buy the New Truck Cash 10% Year Flows Factor Purchase price Now $ (21,000) 1.000 Annual operating costs 1-5 (6,000) 3.791 Salvage value of old truck Now 9,000 1.000 Salvage value of new truck 5 3,000 0.621 Net present value Keep the Old Truck Cash Year Flows Overhaul cost Now $ (4,500) Annual operating costs 1-5 (10,000) Salvage value of old truck 5 250 Net present value 10% Factor 1.000 3.791 0.621 Present Value $ (21,000) (22,746) 9,000 1,863 (32,883) Present Value $ (4,500) (37,910) 155 (42,255) 13-70 Least Cost Decisions Home Furniture should purchase the new truck. Net present value of costs associated with purchase of new truck $(32,883) Net present value of costs associated with overhauling existing truck (42,255) Net present value in favor of purchasing the new truck $ 9,372 13-71 Learning Objective 4 Evaluate an investment project that has uncertain cash flows. 13-72 Uncertain Cash Flows – An Example • Assume that all of the cash flows related to an investment in a supertanker have been estimated, except for its salvage value in 20 years. • Using a discount rate of 12%, management has determined that the net present value of all the cash flows, except the salvage value is a negative $1.04 million. How large would the salvage value need to be to make this investment attractive? 13-73 Uncertain Cash Flows – An Example Net present value to be offset Present value factor $1,040,000 = $ 0.104 10,000,000 This equation can be used to determine that if the salvage value of the supertanker is at least $10,000,000, the net present value of the investment would be positive and therefore acceptable. 13-74 Quick Check Bay Architects is considering a drafting machine that would cost $100,000, last four years, provide annual cash savings of $10,000, and considerable intangible benefits each year. How large (in cash terms) would the intangible benefits have to be per year to justify investing in the machine if the discount rate is 14%? a. $15,000 b. $90,000 c. $24,317 d. $60,000 13-75 Quick Check Cash 14% Present Bay Architects isYears considering a drafting Flows Factor Value machine that would $100,000, last four Investment in machine Now cost $ (100,000) 1.000 $ (100,000) Annualyears, net cashprovide inflows annual 1-4 10,000 2.914of 29,140 cash savings Annual intangible benefits 1-4 ? 2.914 ? $10,000, and considerable intangible Net present value $ (70,860) benefits each year. How large (in cash terms)$70,860/2.914 would the intangible benefits have to = $24,317 be per year to justify investing in the machine if the discount rate is 14%? a. $15,000 b. $90,000 c. $24,317 d. $60,000 13-76 Learning Objective 5 Rank investment projects in order of preference. 13-77 Preference Decision – The Ranking of Investment Projects Screening Decisions Preference Decisions Pertain to whether or not some proposed investment is acceptable; these decisions come first. Attempt to rank acceptable alternatives from the most to least appealing. 13-78 Internal Rate of Return Method When using the internal rate of return method to rank competing investment projects, the preference rule is: The higher the internal rate of return, the more desirable the project. 13-79 Net Present Value Method The net present value of one project cannot be directly compared to the net present value of another project unless the investments are equal. 13-80 Ranking Investment Projects Project = profitability index Net present value of the project Investment required Project A Net present value (a) Investment required (b) Profitability index (a) ÷ (b) $ $ 1,000 10,000 0.10 Project B $ $ 1,000 5,000 0.20 The higher the profitability index, the more desirable the project. 13-81 Learning Objective 6 Compute the simple rate of return for an investment. 13-82 Simple Rate of Return Method Does not focus on cash flows -- rather it focuses on accounting net operating income. The following formula is used to calculate the simple rate of return: Simple rate Annual incremental net operating income = of return Initial investment* *Should be reduced by any salvage from the sale of the old equipment 13-83 Simple Rate of Return Method Management of the Daily Grind wants to install an espresso bar in its restaurant that: 1. Cost $140,000 and has a 10-year life. 2. Will generate incremental revenues of $100,000 and incremental expenses of $65,000 including depreciation. What is the simple rate of return on the investment project? 13-84 Simple Rate of Return Method Simple rate of return = $35,000 $140,000 = 25% 13-85 Criticism of the Simple Rate of Return Ignores the time value of money. Short-comings of the simple rate of return. The same project may appear desirable in some years and undesirable in other years. 13-86 Behavioral Implications of the Simple Rate of Return When investment center managers are evaluated using return on investment (ROI), a project’s simple rate of return may motivate them to bypass investment opportunities that earn positive net present values. 13-87 Postaudit of Investment Projects A postaudit is a follow-up after the project has been completed to see whether or not expected results were actually realized. 13-88 End of Chapter 13